They have a very strange money system in Byteland. Each Byteland gold coin has a whole number written on it. Coin n can be exchanged at the bank for three coins: n/2, n/3 and n/4. But these numbers are all rounded down (banks have to make a profit). You can also sell Byteland Coins for US Dollars. The exchange rate is 1:1. But you cannot buy Byteland coins. You have one gold coin. What is the maximum US dollar amount you can get for this?

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